A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups (Q961552)
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scientific article; zbMATH DE number 5688846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups |
scientific article; zbMATH DE number 5688846 |
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A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups (English)
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31 March 2010
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The article deals with iterative algorithms for finding: (a) a common element of the set of solution for a system of mixed equilibrium problems, (b) the set of common fixed points for an infinite family of strictly pseudo-contractive mappings, and (c) the set of common fixed points for nonexpansive semi-groups in Hilbert spaces. These algorithms are cumbersome and opaque; their description is not possible to present here. Moreover, the main results are vague (for example, in Theorem 3.1 there is a sentence of type: If the following conditions are satisfied: (i) \dots (v) \dots without ``then''). The authors state that (under some conditions) some strongly convergence theorem proved and that results presented in the article extend and improve some recent results. In general, the article seems to be raw and incomplete.
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fixed points
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systems of mixed equilibrium problem
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infinite systems of strictly pseudocontractive mappings
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\(\eta\)-strongly convex functions
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semi-groups
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iterative algorithms
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Hilbert spaces
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